Question

Identify the general shape and direction of the graph of this function on the interval [−2,∞)

Answer 1

To answer this question, we have here a piecewise function. We have that, for the interval [-2, ∞), the function, u(x) is given by:

$\frac{8}{9}\sqrt[5]{x}=\frac{8}{9}x^{\frac{1}{5}}$

If we graph this function using a graphing calculator, we have:

From the graph above, we can conclude that the most similar shape from the given graphs is the first one:

However, the piecewise function is for values equal or greater to x = -2.